Question

Find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.

$y=x-6$.

Short answer

The intercepts are :

x-intercept is $\left(6,0\right)$and y-intercept is$\left(0,-6\right)$

Step-by-step solution

Given information:

Consider the equation,

$y=x-6$

To find the x-intercept:

Let $y=0$in the equation,

Then $0=x-6$

$0+6=x-6+6$[ add 6 on both sides. ]

$6=x$

The solution is $x=6.$

localid="1646397146487" $x-interceptis\left(6,0\right).$

To find the y-intercept:

Let $x=0$in the equation,

Then $y=0-6$

$y=-6$

localid="1646397199966" $y-interceptis\left(0,-6\right).$

To draw the graph:

We can draw the graph of the equation $y=x-6$by plotting the above intercepts and the points in the table below,

x	$y=x-6$	$\left(x,y\right)$
4	-2	$\left(4,-2\right)$
2	-4	$\left(2,-4\right)$
-2	-8	$\left(-2,-8\right)$
-4	-10	$\left(-4,-10\right)$